{"id":"https://openalex.org/W4400587439","doi":"https://doi.org/10.1007/s40314-024-02813-4","title":"Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels","display_name":"Computational study based on the Laplace transform and local discontinuous Galerkin methods for solving fourth-order time-fractional partial integro-differential equations with weakly singular kernels","publication_year":2024,"publication_date":"2024-07-12","ids":{"openalex":"https://openalex.org/W4400587439","doi":"https://doi.org/10.1007/s40314-024-02813-4"},"language":"en","primary_location":{"id":"doi:10.1007/s40314-024-02813-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-02813-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033605643","display_name":"Hadi Mohammadi\u2010Firouzjaei","orcid":"https://orcid.org/0000-0002-7018-500X"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hadi Mohammadi-Firouzjaei","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnique), No. 424, Hafez Ave., Tehran, 15914, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnique), No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026886970","display_name":"Hojatollah Adibi","orcid":"https://orcid.org/0000-0002-8167-5020"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Hojatollah Adibi","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnique), No. 424, Hafez Ave., Tehran, 15914, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnique), No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044309986","display_name":"Mehdi Dehghan","orcid":"https://orcid.org/0000-0002-2573-9755"},"institutions":[{"id":"https://openalex.org/I158248296","display_name":"Amirkabir University of Technology","ror":"https://ror.org/04gzbav43","country_code":"IR","type":"education","lineage":["https://openalex.org/I158248296"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Mehdi Dehghan","raw_affiliation_strings":["Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnique), No. 424, Hafez Ave., Tehran, 15914, Iran"],"raw_orcid":"https://orcid.org/0000-0002-2573-9755","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnique), No. 424, Hafez Ave., Tehran, 15914, Iran","institution_ids":["https://openalex.org/I158248296"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044309986"],"corresponding_institution_ids":["https://openalex.org/I158248296"],"apc_list":null,"apc_paid":null,"fwci":2.6212,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89744052,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"43","issue":"6","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10514","display_name":"Numerical methods in engineering","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12727","display_name":"Differential Equations and Numerical Methods","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/laplace-transform","display_name":"Laplace transform","score":0.7891741991043091},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6630193591117859},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5964471101760864},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.5502660870552063},{"id":"https://openalex.org/keywords/partial-differential-equation","display_name":"Partial differential equation","score":0.5501863360404968},{"id":"https://openalex.org/keywords/galerkin-method","display_name":"Galerkin method","score":0.5392066836357117},{"id":"https://openalex.org/keywords/discontinuous-galerkin-method","display_name":"Discontinuous Galerkin method","score":0.5201390385627747},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4960344731807709},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11873704195022583},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.07709303498268127}],"concepts":[{"id":"https://openalex.org/C97937538","wikidata":"https://www.wikidata.org/wiki/Q199691","display_name":"Laplace transform","level":2,"score":0.7891741991043091},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6630193591117859},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5964471101760864},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.5502660870552063},{"id":"https://openalex.org/C93779851","wikidata":"https://www.wikidata.org/wiki/Q271977","display_name":"Partial differential equation","level":2,"score":0.5501863360404968},{"id":"https://openalex.org/C186899397","wikidata":"https://www.wikidata.org/wiki/Q1491980","display_name":"Galerkin method","level":3,"score":0.5392066836357117},{"id":"https://openalex.org/C92244383","wikidata":"https://www.wikidata.org/wiki/Q428273","display_name":"Discontinuous Galerkin method","level":3,"score":0.5201390385627747},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4960344731807709},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11873704195022583},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.07709303498268127},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s40314-024-02813-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s40314-024-02813-4","pdf_url":null,"source":{"id":"https://openalex.org/S4210195884","display_name":"Computational and Applied Mathematics","issn_l":"0101-8205","issn":["0101-8205","1807-0302","2238-3603"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":56,"referenced_works":["https://openalex.org/W1965557233","https://openalex.org/W1969446688","https://openalex.org/W1974391796","https://openalex.org/W1975383112","https://openalex.org/W1983890677","https://openalex.org/W1990225789","https://openalex.org/W1992103961","https://openalex.org/W1994338028","https://openalex.org/W2012938047","https://openalex.org/W2015795390","https://openalex.org/W2017916357","https://openalex.org/W2020328768","https://openalex.org/W2047450993","https://openalex.org/W2047522104","https://openalex.org/W2058524173","https://openalex.org/W2068392203","https://openalex.org/W2070279765","https://openalex.org/W2074622236","https://openalex.org/W2077937802","https://openalex.org/W2078914286","https://openalex.org/W2080242034","https://openalex.org/W2088360309","https://openalex.org/W2124718863","https://openalex.org/W2130620182","https://openalex.org/W2130994331","https://openalex.org/W2135094424","https://openalex.org/W2144367930","https://openalex.org/W2157177122","https://openalex.org/W2750858826","https://openalex.org/W2769466798","https://openalex.org/W2781618935","https://openalex.org/W2787508749","https://openalex.org/W2789649067","https://openalex.org/W2806710979","https://openalex.org/W2891472221","https://openalex.org/W2902294258","https://openalex.org/W2905008114","https://openalex.org/W2908020738","https://openalex.org/W2941619392","https://openalex.org/W2946174859","https://openalex.org/W2963020731","https://openalex.org/W2987576078","https://openalex.org/W3001815867","https://openalex.org/W3002101277","https://openalex.org/W3003974437","https://openalex.org/W3088560595","https://openalex.org/W3099802389","https://openalex.org/W3110920689","https://openalex.org/W4212947829","https://openalex.org/W4214858951","https://openalex.org/W4289255049","https://openalex.org/W4294081767","https://openalex.org/W4308804223","https://openalex.org/W4313530292","https://openalex.org/W4328107241","https://openalex.org/W4379877354"],"related_works":["https://openalex.org/W623557396","https://openalex.org/W2120874885","https://openalex.org/W1965109456","https://openalex.org/W2435162739","https://openalex.org/W2244225468","https://openalex.org/W3148881609","https://openalex.org/W119256511","https://openalex.org/W2162026849","https://openalex.org/W2394687667","https://openalex.org/W2887215440"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}